Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Remarks on the Hilbert depth of powers of the maximal graded ideal

Silviu Balanescu, Mircea Cimpoeas

Abstract

Let $\mathbf m=(x_1,\ldots,x_n)$ be the maximal graded ideal of $S:=K[x_1,\ldots,x_n]$. We present a new method for computing the Hilbert depth of powers of $\mathbf m$.

Remarks on the Hilbert depth of powers of the maximal graded ideal

Abstract

Let be the maximal graded ideal of . We present a new method for computing the Hilbert depth of powers of .
Paper Structure (3 sections, 15 theorems, 60 equations)

This paper contains 3 sections, 15 theorems, 60 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Main results

Key Result

Theorem 2.1

(lucrare2) The Hilbert depth of $J/I$ is

Theorems & Definitions (30)

  • Theorem 2.1
  • Proposition 2.2
  • Lemma 3.1
  • proof
  • Lemma 3.2
  • proof
  • Remark 3.3
  • Proposition 3.4
  • proof
  • Proposition 3.5
  • ...and 20 more